Details

Time bar (total: 10.6s)

sample33.0ms

Algorithm
intervals
Results
16.0ms488×body80valid

simplify29.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
22.2b
(/ (* z z) (* t t))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
0.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
5.0ms
(/ (* z z) (* t t))

series136.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
29.0ms
(/ (* z z) (* t t))

simplify3.1s

Counts
39 → 39
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
066517
1169509
2631379
34787364
done5000364

prune121.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
30×add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
2 → 79
Calls
2 calls:
0.0ms
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
19.0ms
(* (/ z t) (/ z t))

series138.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
30.0ms
(* (/ z t) (/ z t))

simplify806.0ms

Counts
85 → 85
Iterations

Useful iterations: 2 (203.0ms)

IterNodesCost
01291098
13701010
21312843
done5001843

prune247.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot (/ x y) (/ z t))
0.0b
(hypot (/ x y) (/ z t))
0.4b
(* (hypot (/ x y) (/ z t)) (hypot (/ x y) (/ z t)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×hypot-udef
5×add-exp-log add-cbrt-cube
3×expm1-log1p-u swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
1×pow2 pow-plus sqrt-unprod pow-prod-down prod-exp rem-square-sqrt pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
3 → 49
Calls
3 calls:
0.0ms
(hypot (/ x y) (/ z t))
0.0ms
(hypot (/ x y) (/ z t))
4.0ms
(* (hypot (/ x y) (/ z t)) (hypot (/ x y) (/ z t)))

series320.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(hypot (/ x y) (/ z t))
89.0ms
(hypot (/ x y) (/ z t))
140.0ms
(* (hypot (/ x y) (/ z t)) (hypot (/ x y) (/ z t)))

simplify1.5s

Counts
58 → 58
Iterations

Useful iterations: 3 (150.0ms)

IterNodesCost
050831
1103748
2263629
31035547
done5000547

prune197.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (hypot (/ x y) (/ z t)) (* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t)))))
0.5b
(* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t))))
1.7b
(sqrt (hypot (/ x y) (/ z t)))
1.7b
(sqrt (hypot (/ x y) (/ z t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×pow1
31×add-sqr-sqrt
24×sqrt-prod
16×sqrt-pow1 pow1/2
15×add-cube-cbrt *-un-lft-identity pow-prod-up
11×add-exp-log add-cbrt-cube
9×swap-sqr associate-*l*
7×associate-*r*
6×pow-prod-down
5×pow-sqr unswap-sqr
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×rem-sqrt-square *-commutative
1×pow2 hypot-udef pow-plus rem-square-sqrt
Counts
4 → 110
Calls
4 calls:
14.0ms
(* (hypot (/ x y) (/ z t)) (* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t)))))
7.0ms
(* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t))))
1.0ms
(sqrt (hypot (/ x y) (/ z t)))
1.0ms
(sqrt (hypot (/ x y) (/ z t)))

series407.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(* (hypot (/ x y) (/ z t)) (* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t)))))
91.0ms
(* (sqrt (hypot (/ x y) (/ z t))) (sqrt (hypot (/ x y) (/ z t))))
88.0ms
(sqrt (hypot (/ x y) (/ z t)))
88.0ms
(sqrt (hypot (/ x y) (/ z t)))

simplify2.0s

Counts
122 → 122
Iterations

Useful iterations: 3 (395.0ms)

IterNodesCost
0992276
12031398
24681154
316641100
done50001100

prune257.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes306.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
11125
done1125

end0.0ms

sample924.0ms

Algorithm
intervals
Results
541.0ms15398×body80valid